Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Option C: ![r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
is the right answer
Step-by-step explanation:
Given formula for volume of a sphere is:
We have to make r the subject of the formula
Multiplying equation by 3/4
Dividing both sides by pi
Taking cube root on both sides
![\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
Hence,
Option C: is the right answer
Keywords: Volume, Sphere
Learn more about volume at:
#LearnwithBrainly
Answer:
360
Step-by-step explanation:
There are 60 minutes in 1 hour, so 2 hours = 120 minutes.
Multiply 120 by 3 and you get 360.
They would burn 360 calories doing 2 hours of bowling.
Answer:
x=51.3 and y=3 and that is equal to 154 don't forget to put a bar notation in .3 in 51.3
